Problem: Igor the analyst has adopted n little bunnies. As we all know, bunnies love carrots. Thus, Igor has bought a carrot to be shared between his bunnies. Igor wants to treat all the bunnies equally, and thus he wants to cut the carrot into n pieces of equal area. 

Formally, the carrot can be viewed as an isosceles triangle with base length equal to 1 and height equal to h. Igor wants to make n - 1 cuts parallel to the base to cut the carrot into n pieces. He wants to make sure that all n pieces have the same area. Can you help Igor determine where to cut the carrot so that each piece have equal area?

<image> Illustration to the first example.

Input

The first and only line of input contains two space-separated integers, n and h (2 ≤ n ≤ 1000, 1 ≤ h ≤ 105).

Output

The output should contain n - 1 real numbers x1, x2, ..., xn - 1. The number xi denotes that the i-th cut must be made xi units away from the apex of the carrot. In addition, 0 < x1 < x2 < ... < xn - 1 < h must hold. 

Your output will be considered correct if absolute or relative error of every number in your output doesn't exceed 10 - 6.

Formally, let your answer be a, and the jury's answer be b. Your answer is considered correct if <image>.

Examples

Input

3 2


Output

1.154700538379 1.632993161855


Input

2 100000


Output

70710.678118654752

Note

Definition of isosceles triangle: <https://en.wikipedia.org/wiki/Isosceles_triangle>.

Solution (in PYTHON3):

Solution:
__author__ = 'Alexander'

import math
def Task(inp1):
    n, h = map(int,inp1.split())
    # elems = [int(elem) for elem in inp2.split()]
    # res = [[0, 0] for i in range(n)]
    res = [0]*n
    res[0] = h
    for i in range(1, n):
        res[i] = math.sqrt((n-i)/(n-i+1))*res[i-1]
    # print(sorted(res[1:]))
    answer = sorted(res[1:])
    answer = [str(elem) for elem in answer]
    return answer

def Main():
    inp1 = input()
    # inp2 = input()
    outp = Task(inp1)
    print(' '.join(outp))

def Test():
    #These "asserts" using only for self-checking and not necessary for auto-testing
    assert Task('2 100000') == '70710.678118654752'
    assert Task('3 2') == '1.154700538379 1.632993161855'

Main()
# Test()
# print([0,0]*2)